## Linear Operators, Volume 2 |

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**properties**of completely additive set functions and their application to generalization of a theorem of Lebesgue . Mat . Sbornik N. S. 20 ( 62 ) , 317–329 ( 1947 ) . ( Russian , English summary ) Math . Rev. 9 , 19 ( 1948 ) .Page 1900

Almost periodic functions , definition , IV.2.25 ( 242 ) space of , additional

Almost periodic functions , definition , IV.2.25 ( 242 ) space of , additional

**properties**, IV.15 ( 379 ) definition , IV.2.25 ( 242 ) remarks concerning , ( 386–387 ) study of , IV.7 Almost uniform ( or u - uniform convergence ) ...Page 1902

**properties**, I.3.12–14 ( 9 ) Cartesian product of topological spaces , 1.8 ( 31 ) Category theorem , of Baire , 1.6.9 ( 20 ) Cauchy integral formula , ( 227 ) for functions of an operator , in a finite dimensional space , VII.1.10 ( 560 ) ...### What people are saying - Write a review

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### Contents

BAlgebras | 859 |

Commutative BAlgebras | 868 |

Commutative BAlgebras | 874 |

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additive adjoint operator algebra Amer analytic assume Banach spaces basis belongs Borel boundary conditions boundary values bounded called clear closed closure coefficients compact complex Consequently constant contains continuous converges Corollary corresponding defined Definition denote dense derivatives determined domain eigenvalues element equal equation essential spectrum evident Exercise exists extension finite follows formal differential operator formula function function f given Hence Hilbert space identity independent indices inequality integral interval Lemma limit linear mapping Math matrix measure multiplicity neighborhood norm obtained partial positive preceding present problem projection proof properties prove range regular remark representation respectively restriction result satisfies seen sequence shown singular solution spectral square-integrable statement subset subspace sufficiently Suppose symmetric Theorem theory topology transform unique vanishes vector zero